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NEET 2023 · Energy of the Electron & Energy Levels

Energy of the Electron & Energy Levels question from NEET 2023

Q26NEET 2023Medium

Energy of the Electron & Energy Levels

The angular momentum of an electron moving in an orbit of hydrogen atom is 1.5(hπ)1.5\left(\frac{h}{\pi}\right). The energy in the same orbit is nearly.

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Answer: (a)

  1. L=nh2πL = \frac{nh}{2\pi}; given L=1.5 hπ=3h2πL = 1.5\,\frac{h}{\pi} = \frac{3h}{2\pi}, so n=3n = 3.
  2. E3=−13.69=−1.51E_3 = \frac{-13.6}{9} = -1.51 eV
  3. So the answer is (a) −1.5-1.5 eV.
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